Nursing Elites

1. A sweater that normally sells for $78 is marked 15% off. Which of the following estimates the sale price of the sweater?

• A. $12
• B. $66
• C. $22
• D. $69

Correct answer: B

Rationale: To find the sale price after a 15% discount, you calculate 15% of $78, which is $11.70. Subtracting $11.70 from the original price gives $66.30. Since the price is typically rounded, the estimated sale price is $66. Choice A, $12, is too low and does not reflect a 15% discount off $78. Choice C, $22, and choice D, $69, are also incorrect as they do not accurately estimate the sale price after a 15% discount.

2. Which of the following is the decimal form of 87.5%?

• A. 875
• B. 8,750
• C. 0.875
• D. 8.75

Correct answer: C

Rationale: To convert a percentage to a decimal, you move the decimal point two places to the left. Therefore, 87.5% as a decimal is 0.875. Choice A (875) is incorrect as it represents the percentage without converting to a decimal. Choice B (8,750) is incorrect as it represents the percentage in whole numbers without decimal conversion. Choice D (8.75) is incorrect as it represents 875% instead of 87.5%.

3. A new physician saw 841 clients during the first year of practice and 1072 clients during the second year of practice. Which of the following represents the approximate percentage increase in client volume?

• A. 22%
• B. 27%
• C. 127%
• D. 78%

Correct answer: B

Rationale: To calculate the percentage increase, subtract the initial value from the final value, then divide by the initial value and multiply by 100. In this case, the calculation is ((1072 - 841) / 841) x 100 ≈ 27%. Therefore, the correct answer is B. Choice A (22%) is incorrect as it does not match the calculated percentage increase. Choice C (127%) is incorrect as it represents an absolute increase, not a percentage increase. Choice D (78%) is incorrect as it is not close to the calculated percentage increase of 27%.

4. Simplify the following expression: (2/7) ÷ (5/6)

• A. 2/5
• B. 35/15
• C. 5/21
• D. 12/35

Correct answer: D

Rationale: To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. In this case, (2/7) ÷ (5/6) becomes (2/7) × (6/5) = 12/35. Therefore, the correct answer is 12/35. Choice A (2/5), choice B (35/15), and choice C (5/21) are incorrect because they do not correctly simplify the given expression.

5. What is the value of b in this equation? 5b - 4 = 2b + 17

• A. 13
• B. 24
• C. 7
• D. 21

Correct answer: C

Rationale: To find the value of b in the equation 5b - 4 = 2b + 17, you need to first simplify the equation. By subtracting 2b from both sides of the equation and adding 4 to both sides, you get 3b = 21. Then, dividing both sides of the equation by 3 gives you b = 7. Therefore, the value of b is 7, which corresponds to option C. Choice A (13) is incorrect as it does not match the correct calculation. Choice B (24) is incorrect as it is not the result of the correct algebraic manipulation. Choice D (21) is incorrect as it is not the value of b obtained after solving the equation step by step.

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